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Answer to Question #40814 in Statistics and Probability for Sumendra

Question #40814
The amount of time that the battery of a certain brand of computer functions is a random
variable with mean 12 hours and standard deviation of 1.5 hours. A random sample of 45
batteries of a certain brand of computer is selected from a normal population. Let X be the
mean time of the battery of a certain brand of computer functions. Find

i. the mean and the standard deviation of X . [3 marks]
ii. the probability that 11.99 < x < 12.02. [3.5 marks]

[Note: Leave all the calculations in 4 decimal places.]
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